T.T.F. theories in abelian categories

DOI10.1080/00927878808823609zbMath0652.18005OpenAlexW2091502275MaRDI QIDQ3797363

Ronald Gentle

Publication date: 1988

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878808823609

zbMATH Keywords

colocalizationtorsion theorieslocalizationabelian categorycategory of fractionsinjective objectsSerre subcategoryprojective objectsgenerating set of small projectivesTTF theory

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Localization of categories, calculus of fractions (18E35)

Related Items

Equivalences Induced by Adjoint Functors ⋮ TTF triples in functor categories. ⋮ Properties of abelian categories via recollements ⋮ Contravariant finiteness and iterated strong tilting ⋮ A T.T.F. theory for short exact sequences ⋮ T.T.F. theories for left and right exact sequences ⋮ Torsion pairs in recollements of abelian categories ⋮ Recollements of module categories ⋮ A representation-theoretic approach to recollements of abelian categories ⋮ Morita equivalence based on contexts for various categories of modules over associative rings

Cites Work

• Colocalization and localization in Abelian categories
• Colocalization and localization
• Representation Theory of Artin Algebras II
• TTF-classes over perfect rings
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item